Answered: The average room rate for a hotel in a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The average room rate for a hotel in a city in 2016 was

$332.

Suppose the city's Chamber of Commerce would like to test if this rate has changed recently by randomly sampling

room rates. The mean of this sample was found to be

$346.91.

Assume the population standard deviation is

$58.

Using

α=0.01,

complete parts a through c.

The average room rate for a hotel in a city in 2016 was $332. Suppose the city's Chamber of Commerce would like to test if this rate has changed recently by randomly sampling 41 room rates. The mean of this sample was found to be $346.91.
Assume the population standard deviation is $58. Using a = 0.01, complete parts a through c.
.....
a. State the null and alternative hypothesis.
Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,.
Ho: H
(Type integers or decimals. Do not round. Do not include the $ symbol in your answers.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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